In: Statistics and Probability
1. A marketing research team at Optimum Nutrition is interested in knowing the proportion of Americans who exercise at least three times a week. They send out a survey asking "Do you exercise more than 3 times a week?" to over 5,000 random Americans.
Given the following scenario, is this problem a One Mean, One Proportion, Two Independent Means, or Paired Means?
Group of answer choices
a. One Mean
b. Two Independent Means
c. Paired Means
d. One Proportion
2. On average, how much is the difference in calories burned between regular and standing desks? The amount of calories that 8 employees burned was recorded by using a regular desk for a day, and then with using a standing desk. The data is recorded in the table below. Compute a 95% confidence interval for the population mean difference. (dif = standing - regular)
Regular Desk | Standing Desk |
156 | 164 |
160 | 148 |
148 | 159 |
140 | 160 |
156 | 150 |
152 | 152 |
162 | 162 |
155 | 149 |
Group of answer choices
a. (-6.91, 10.66)
b. (-10.66, -6.91)
c. (-10.66, 6.91)
d. (6.91, 10.66)
3. A movie theater wanted to see if they could increase attendance by offering a free digital copy of a movie with ticket purchase. They randomly picked 10 different theaters to test the new program at and tested each of these theaters on two random days, once with the program and once without. The resulting attendance that was recorded is shown in the table below. Find dbar and sd using (with-without).
Theater # |
With Program | Without Program |
1 |
162 | 173 |
2 | 178 | 170 |
3 | 155 | 147 |
4 | 201 | 198 |
5 | 183 | 183 |
6 | 147 | 139 |
7 | 182 | 185 |
8 | 157 | 154 |
9 | 182 | 177 |
10 | 149 | 151 |
Group of answer choices
a. dbar= 1.9 sd= 6.08
b. dbar= -1.9 sd= -1.14
c. dbar= 1.9 sd= -1.14
d. dbar= -1.9 sd= -6.08